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Finding the Fourth Proportional to 683.90, 943.67 and 404.10

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Solution

The fourth proportional to 683.90, 943.67 and 404.10 is: 557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.90 : 943.67 = 404.10 : x
  2. Step 2: Convert to fraction form
    683.90/943.67 = 404.10/x
  3. Step 3: Cross multiply
    683.90x = 943.67 × 404.10
  4. Step 4: Simplify right side
    683.90x = 381,338.06
  5. Step 5: Solve for x
    x = 381,338.06/683.90
  6. Step 6: Final answer
    x = 557.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.